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CONFIGURATION CATEGORIES AND HOMOTOPY AUTOMORPHISMS
Published online by Cambridge University Press: 19 November 2018
Abstract
Let M be a smooth compact manifold with boundary. Under some geometric conditions on M, a homotopical model for the pair (M, ∂M) can be recovered from the configuration category of M \ ∂M. The grouplike monoid of derived homotopy automorphisms of the configuration category of M \ ∂M then acts on the homotopical model of (M, ∂M). That action is compatible with a better known homotopical action of the homeomorphism group of M \ ∂M on (M, ∂M).
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2018
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